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Finding the Fourth Proportional to 374,238.83, 516,450.14 and 213,094.01

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Solution

The fourth proportional to 374,238.83, 516,450.14 and 213,094.01 is: 294,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,238.83 : 516,450.14 = 213,094.01 : x
  2. Step 2: Convert to fraction form
    374,238.83/516,450.14 = 213,094.01/x
  3. Step 3: Cross multiply
    374,238.83x = 516,450.14 × 213,094.01
  4. Step 4: Simplify right side
    374,238.83x = 110,052,431,297.66
  5. Step 5: Solve for x
    x = 110,052,431,297.66/374,238.83
  6. Step 6: Final answer
    x = 294,070.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.